# Congruences, ideals and annihilators in standard QBCC-algebras

Open Mathematics (2005)

- Volume: 3, Issue: 1, page 83-97
- ISSN: 2391-5455

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topRadomír Halaš, and Luboš Plojhar. "Congruences, ideals and annihilators in standard QBCC-algebras." Open Mathematics 3.1 (2005): 83-97. <http://eudml.org/doc/268853>.

@article{RadomírHalaš2005,

abstract = {We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.},

author = {Radomír Halaš, Luboš Plojhar},

journal = {Open Mathematics},

keywords = {06F35; 06A11; 03G25},

language = {eng},

number = {1},

pages = {83-97},

title = {Congruences, ideals and annihilators in standard QBCC-algebras},

url = {http://eudml.org/doc/268853},

volume = {3},

year = {2005},

}

TY - JOUR

AU - Radomír Halaš

AU - Luboš Plojhar

TI - Congruences, ideals and annihilators in standard QBCC-algebras

JO - Open Mathematics

PY - 2005

VL - 3

IS - 1

SP - 83

EP - 97

AB - We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.

LA - eng

KW - 06F35; 06A11; 03G25

UR - http://eudml.org/doc/268853

ER -

## References

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- [7] R. Halaš and J. Ort: “Standard QBCC-algebras”, Demonstratio Math., Vol. 36(1), (2003), pp. 1–10. Zbl1032.06009
- [8] R. Halaš and J. Ort: “QBCC-algebras inherited from qosets”, Math. Slovaca, Vol. 53(4), (2003), pp. 331–340. Zbl1072.06018
- [9] Y. Imai and K. Iséki: “On axiomatic system of propositional calculi”, XIV. Proc. Japan Acad., Vol. 42, (1966), pp. 19–22. http://dx.doi.org/10.3792/pja/1195522169
- [10] Y. Komori: “The class of BCC-algebras is not a variety”, Math. Japon., Vol. 29, (1984), pp. 391–394. Zbl0553.03046
- [11] A. Wroński: “An algebraic motivation for BCK-algebras”, Math. Japon., Vol. 30, (1985), pp. 183–193. Zbl0569.03029
- [12] A. Wroński: “BCK-algebras do not form a variety”, Math. Japon., Vol. 28, (1983), pp. 211–213. Zbl0518.06014

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